Pick's Theorem
- Author:
- Simona Riva
- Topic:
- Area, Coordinates, Polygons
Pick's Theorem
A useful tool to calculate the areas of polygons whose vertices have integer coordinates.
In a Cartesian coordinate system, the vertices of a triangle are , and . Calculate the area of the triangle.
In a Cartesian coordinate system, the vertices of a polygon are and . Calculate the area of the polygon. Can you "cut" the polygon in two congruent parts to make your calculations easier and faster? Explain your strategy.